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• A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

  Jinye Shen, Heng Dai, Weizhang Huang

  2024-07-29

  24239 1823 Pages:248-273

• Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation

  Xianjuan Li, Chuanju Xu

  2010-08-01

  46455 4876 Pages:1016-1051

• Numerical Solution of Blow-Up Problems for Nonlinear Wave Equations on Unbounded Domains

  Hermann Brunner, Hongwei Li, Xiaonan Wu

  2013-09-05

  40120 4060 Pages:574-598

• Split Local Artificial Boundary Conditions for the Two-Dimensional Sine-Gordon Equation on R2

  Houde Han, Zhiwen Zhang

  2011-10-01

  39299 4227 Pages:1161-1183

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du

  2018-04-08

  42277 4917 Pages:16-39 Open-access

• A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow

  Yueling Jia, Song Jiang, Baolin Tian, Eleuterio F. Toro

  2018-09-17

  45369 3466 Pages:309-331

• Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

  Jiwei Zhang, Zhizhong Sun, Xiaonan Wu, Desheng Wang

  2011-10-01

  38939 3929 Pages:742-766

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  47446 5579 Pages:233-264

• PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

  Hailong Sheng, Chao Yang

  2022-10-28

  47150 3352 Pages:980-1006